There is also OpenSnowMap (http://www.opensnowmap.org/) which enables searching for individual trails. It is highly unlikely that such items will be shown on the Standard style: winter trails often follow paths, tracks and roads and these are already shown.

I like the opensnowmap interface. OpenPisteMap doesnt seem to render the the downhill tracks I added a couple days ago. Opensnowmap rendered them without any issues. I wish this feature could be brought to openstreetmap either as a different layer or part of the standard :(

@LogicalViolinist: There are rather high requirements for tile servers to become part of the layer selection. That's why we have so few of them at the moment. I remember these requirements to be listed somewhere in the wiki but I couldn't find them.